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词条 Decay chain
释义

  1. History

  2. Types of decay

  3. Actinide alpha decay chains

      Thorium series   Neptunium series   {{anchor|Radium series}} Uranium series    Actinium series  

  4. See also

  5. Notes

  6. References

  7. External links

{{Nuclear physics}}

In nuclear science, the decay chain refers to a series of radioactive decays of different radioactive decay products as a sequential series of transformations. It is also known as a "radioactive cascade". Most radioisotopes do not decay directly to a stable state, but rather undergo a series of decays until eventually a stable isotope is reached.

Decay stages are referred to by their relationship to previous or subsequent stages. A parent isotope is one that undergoes decay to form a daughter isotope. One example of this is uranium (atomic number 92) decaying into thorium (atomic number 90). The daughter isotope may be stable or it may decay to form a daughter isotope of its own. The daughter of a daughter isotope is sometimes called a granddaughter isotope.

The time it takes for a single parent atom to decay to an atom of its daughter isotope can vary widely, not only between different parent-daughter pairs, but also randomly between identical pairings of parent and daughter isotopes. The decay of each single atom occurs spontaneously, and the decay of an initial population of identical atoms over time t, follows a decaying exponential distribution, e−λt, where λ is called a decay constant. One of the properties of an isotope is its half-life, the time by which half of an initial number of identical parent radioisotopes have decayed to their daughters, which is inversely related to λ. Half-lives have been determined in laboratories for many radioisotopes (or radionuclides). These can range from nearly instantaneous to as much as 1019 years or more.

The intermediate stages each emit the same amount of radioactivity as the original radioisotope (i.e. there is a one-to-one relationship between the numbers of decays in successive stages) but each stage releases a different quantity of energy. If and when equilibrium is achieved, each successive daughter isotope is present in direct proportion to its half-life; but since its activity is inversely proportional to its half-life, each nuclide in the decay chain finally contributes as many individual transformations as the head of the chain, though not the same energy. For example, uranium-238 is weakly radioactive, but pitchblende, a uranium ore, is 13 times more radioactive than the pure uranium metal because of the radium and other daughter isotopes it contains. Not only are unstable radium isotopes significant radioactivity emitters, but as the next stage in the decay chain they also generate radon, a heavy, inert, naturally occurring radioactive gas. Rock containing thorium and/or uranium (such as some granites) emits radon gas that can accumulate in enclosed places such as basements or underground mines.[1]

History

All the elements and isotopes found on Earth, with the exceptions of hydrogen, deuterium, helium, helium-3, and perhaps trace amounts of stable lithium and beryllium isotopes which were created in the Big Bang, were created by the s-process or the r-process in stars, and for those to be today a part of the Earth, must have been created not later than 4.5 billion years ago. All the elements created more than 4.5 billion years ago are termed primordial, meaning they were generated by the universe's stellar processes. At the time when they were created, those that were unstable began decaying immediately. All the isotopes which have half-lives less than 100 million years have been reduced to {{val|2.8|e=-12}}% or less of whatever original amounts were created and captured by Earth's accretion; they are of trace quantity today, or have decayed away altogether. There are only two other methods to create isotopes: artificially, inside a man-made (or perhaps a natural) reactor, or through decay of a parent isotopic species, the process known as the decay chain.

Unstable isotopes decay to their daughter products (which may sometimes be even more unstable) at a given rate; eventually, often after a series of decays, a stable isotope is reached: there are about 200 stable isotopes in the universe. Stable isotopes have ratios of neutrons to protons in their nucleus which are typical about 1 for light elements (e.g. 1 in helium-4) and gradually increase to around 1.5 for the heaviest elements such as lead (there is no complete stability for anything heavier than lead-208). The elements heavier than that have to shed weight to achieve stability, most usually as alpha decay. The other common decay method for isotopes with a high neutron to proton ratio (n/p) is beta decay, in which the nuclide changes elemental identity while keeping the same weight and lowering its n/p ratio. For some isotopes with a relatively low n/p ratio, there is an inverse beta decay, by which a proton is transformed into a neutron, thus moving towards a stable isotope; however, since fission almost always produces products which are neutron heavy, positron emission is relatively rare compared to electron emission. There are many relatively short beta decay chains, at least two (a heavy, beta decay and a light, positron decay) for every discrete weight up to around 207 and some beyond, but for the higher weight elements (isotopes heavier than lead) there are only four pathways which encompass all decay chains. This is because there are just two main decay methods: alpha radiation, which reduces the weight by 4 atomic mass units (AMUs), and beta, which does not change the atomic weight at all (just the atomic number and the p/n ratio). The four paths are termed 4n, 4n + 1, 4n + 2, and 4n + 3; the remainder from dividing the atomic weight by four gives the chain the isotope will use to decay. There are other decay modes, but they invariably occur at a lower probability than alpha or beta decay. (It should not be supposed that these chains have no branches: the diagram below shows a few branches of chains, and in reality there are many more, because there are many more isotopes possible than are shown in the diagram.)

Three of those chains have a long-lived isotope (or nuclide) near the top; this long-lived isotope is a bottleneck in the process through which the chain flows very slowly, and keeps the chain below them "alive" with flow. The three long-lived nuclides are uranium-238 (half-life=4.5 billion years), uranium-235 (half-life=700 million years) and thorium-232 (half-life=14 billion years). The fourth chain has no such long lasting bottleneck isotope, so almost all of the isotopes in that chain have long since decayed down to very near the stability at the bottom. Near the end of that chain is bismuth-209, which was long thought to be stable. Recently, however, bismuth-209 was found to be unstable with a half-life of 19 billion billion years; it is the last step before stable thallium-205. In the distant past, around the time that the solar system formed, there were more kinds of unstable high-weight isotopes available, and the four chains were longer with isotopes that have since decayed away. Today we have manufactured extinct isotopes, which again take their former places: plutonium-239, the nuclear bomb fuel, as the major example has a half-life of "only" 24,500 years, and decays by alpha emission into uranium-235. In particular, we have through the large-scale production of neptunium-237 successfully resurrected the hitherto extinct fourth chain.[2]

Types of decay

Three main decay chains (or families) are observed in nature, commonly called the thorium series, the radium or uranium series, and the actinium series, representing three of these four classes, and ending in three different, stable isotopes of lead. The mass number of every isotope in these chains can be represented as A = 4n, A = 4n + 2, and A = 4n + 3, respectively. The long-lived starting isotopes of these three isotopes, respectively thorium-232, uranium-238, and uranium-235, have existed since the formation of the earth, ignoring the artificial isotopes and their decays since the 1940s.

Due to the relatively short half-life of its starting isotope neptunium-237 (2.14 million years), the fourth chain, the neptunium series with A = 4n + 1, is already extinct in nature, except for the final rate-limiting step, decay of bismuth-209. The ending isotope of this chain is now known to be thallium-205. Some older sources give the final isotope as bismuth-209, but it was recently discovered that it is very slightly radioactive, with a half-life of {{val|1.9|e=19|u=years}}.

There are also non-transuranic decay chains of unstable isotopes of light elements, for example those of magnesium-28 and chlorine-39. On Earth, most of the starting isotopes of these chains before 1945 were generated by cosmic radiation. Since 1945, the testing and use of nuclear weapons has also released numerous radioactive fission products. Almost all such isotopes decay by either β or β+ decay modes, changing from one element to another without changing atomic mass. These later daughter products, being closer to stability, generally have longer half-lives until they finally decay into stability.

Actinide alpha decay chains

{{Actinidesvsfissionproducts}}

In the four tables below, the minor branches of decay (with the branching probability of less than 0.0001%) are omitted. The energy release includes the total kinetic energy of all the emitted particles (electrons, alpha particles, gamma quanta, neutrinos, Auger electrons and X-rays) and the recoil nucleus, assuming that the original nucleus was at rest. The letter 'a' represents a year (from the Latin annus).

In the tables below (except neptunium), the historic names of the naturally occurring nuclides are also given. These names were used at the time when the decay chains were first discovered and investigated. From these historical names one can locate the particular chain to which the nuclide belongs, and replace it with its modern name.

The three naturally-occurring actinide alpha decay chains given below—thorium, uranium/radium (from U-238), and actinium (from U-235)—each ends with its own specific lead isotope (Pb-208, Pb-206, and Pb-207 respectively). All these isotopes are stable and are also present in nature as primordial nuclides, but their excess amounts in comparison with lead-204 (which has only a primordial origin) can be used in the technique of uranium-lead dating to date rocks.

{{Clear}}

Thorium series

The 4n chain of Th-232 is commonly called the "thorium series" or "thorium cascade". Beginning with naturally occurring thorium-232, this series includes the following elements: actinium, bismuth, lead, polonium, radium, radon and thallium. All are present, at least transiently, in any natural thorium-containing sample, whether metal, compound, or mineral. The series terminates with lead-208.

The total energy released from thorium-232 to lead-208, including the energy lost to neutrinos, is 42.6 MeV.

nuclidehistoric name (short)historic name (long)decay modehalf-life
(a=year)
energy released, MeVproduct of decay
252Cfα2.645 a6.1181248Cm
248Cmα3.4{{e|5}} a5.162244Pu
244Puα8{{e|7}} a4.589240U
240Uβ14.1 h.39240Np
240Npβ1.032 h2.2240Pu
240Puα6561 a5.1683236U
236UThoruranium[3]α2.3{{e|7}} a4.494232Th
232ThThThoriumα1.405{{e|10}} a4.081228Ra
228RaMsTh1Mesothorium 1β5.75 a0.046228Ac
228AcMsTh2Mesothorium 2β6.25 h2.124228Th
228ThRdThRadiothoriumα1.9116 a5.520224Ra
224RaThXThorium Xα3.6319 d5.789220Rn
220RnTnThoron,
Thorium Emanation
α55.6 s6.404216Po
216PoThAThorium Aα0.145 s6.906212Pb
212PbThBThorium Bβ10.64 h0.570212Bi
212BiThCThorium Cβ 64.06%
α 35.94%
60.55 min2.252
6.208
212Po
208Tl
212PoThC′Thorium C′α299 ns8.784 [4]208Pb
208TlThC″Thorium C″β3.053 min1.803 [5]208Pb
208PbThDThorium Dstable...

Neptunium series

The 4n + 1 chain of Np-237 is commonly called the "neptunium series" or "neptunium cascade". In this series, only two of the isotopes involved are found naturally, namely the final two: bismuth-209 and thallium-205. A smoke detector containing an americium-241 ionization chamber accumulates a significant amount of neptunium-237 as its americium decays; the following elements are also present in it, at least transiently, as decay products of the neptunium: actinium, astatine, bismuth, francium, lead, polonium, protactinium, radium, thallium, thorium, and uranium. Since this series was only studied more recently{{when|date=November 2018}}, its nuclides do not have historic names. One unique trait of this decay chain is that it does not include the noble-gas radon, and thus does not migrate through rock nearly as much as the other three decay chains.

The total energy released from californium-249 to thallium-205, including the energy lost to neutrinos, is 66.8 MeV.

nuclidedecay modehalf-life
(a=year)
energy released, MeVproduct of decay
249Cfα351 a5.813+.388245Cm
245Cmα8500 a5.362+.175241Pu
241Puβ14.4 a0.021241Am
241Amα432.7 a5.638237Np
237Npα2.14·106 a4.959233Pa
233Paβ27.0 d0.571233U
233Uα1.592·105 a4.909229Th
229Thα7340 a5.168225Ra
225Raβ14.9 d0.36225Ac
225Acα10.0 d5.935221Fr
221Frα4.8 min6.3217At
217Atα32 ms7.0213Bi
213Biβ 97.80%
α 2.20%
46.5 min1.423
5.87
213Po
209Tl
213Poα3.72 μs8.536209Pb
209Tlβ2.2 min3.99209Pb
209Pbβ3.25 h0.644209Bi
209Biα1.9·1019 a3.137205Tl
205Tl.stable..

{{anchor|Radium series}} Uranium series

The 4n+2 chain of U-238 is called the "uranium series" or "radium series". Beginning with naturally occurring uranium-238, this series includes the following elements: astatine, bismuth, lead, polonium, protactinium, radium, radon, thallium, and thorium. All are present, at least transiently, in any natural uranium-containing sample, whether metal, compound, or mineral. The series terminates with lead-206.

The total energy released from uranium-238 to lead-206, including the energy lost to neutrinos, is 51.7 MeV.

{{Radium series/table}}

Actinium series

The 4n+3 chain of uranium-235 is commonly called the "actinium series" or "plutonium cascade". Beginning with the naturally-occurring isotope U-235, this decay series includes the following elements: actinium, astatine, bismuth, francium, lead, polonium, protactinium, radium, radon, thallium, and thorium. All are present, at least transiently, in any sample containing uranium-235, whether metal, compound, ore, or mineral. This series terminates with the stable isotope lead-207.

The total energy released from uranium-235 to lead-207, including the energy lost to neutrinos, is 46.4 MeV.

nuclidehistoric name (short)historic name (long)decay modehalf-life
(a=year)
energy released, MeVproduct of decay
251Cfα900.6 a6.176247Cm
247Cmα1.56·107 a5.353243Pu
243Puβ4.95556 h0.579243Am
243Amα7388 a5.439239Np
239Npβ2.3565 d0.723239Pu
239Puα2.41·104 a5.244235U
235UAcUActin Uraniumα7.04·108 a4.678231Th
231ThUYUranium Yβ25.52 h0.391231Pa
231PaPaProtactiniumα32760 a5.150227Ac
227AcAcActiniumβ 98.62%
α 1.38%
21.772 a0.045
5.042
227Th
223Fr
227ThRdAcRadioactiniumα18.68 d6.147223Ra
223FrAcKActinium Kβ 99.994%
α 0.006%
22.00 min1.149
5.340
223Ra
219At
223RaAcXActinium Xα11.43 d5.979219Rn
219Atα 97.00%
β 3.00%
56 s6.275
1.700
215Bi
219Rn
219RnAnActinon,
Actinium Emanation
α3.96 s6.946215Po
215Biβ7.6 min2.250 215Po
215PoAcAActinium Aα 99.99977%
β 0.00023%
1.781 ms7.527
0.715
211Pb
215At
215Atα0.1 ms8.178211Bi
211PbAcBActinium Bβ36.1 min1.367211Bi
211BiAcCActinium Cα 99.724%
β 0.276%
2.14 min6.751
0.575
207Tl
211Po
211PoAcC'Actinium C'α516 ms7.595207Pb
207TlAcC"Actinium C"β4.77 min1.418207Pb
207PbAcDActinium D.stable..

See also

  • Nuclear physics
  • Radioactive decay
  • Valley of stability
  • Decay product
  • Radioisotopes (radionuclide)
  • Radiometric dating

Notes

1. ^{{cite web |url=http://www.epa.gov/radon/ |title=Archived copy |accessdate=2008-06-26 |deadurl=no |archiveurl=https://web.archive.org/web/20080920014042/http://www.epa.gov/radon/ |archivedate=2008-09-20 |df= }}
2. ^{{cite book|last1=Koch|first1=Lothar|title=Transuranium Elements, in Ullmann's Encyclopedia of Industrial Chemistry|publisher=Wiley|date=2000|doi=10.1002/14356007.a27_167}}
3. ^{{cite journal |last1=Trenn |first1=Thaddeus J. |date=1978 |title=Thoruranium (U-236) as the extinct natural parent of thorium: The premature falsification of an essentially correct theory |journal=Annals of Science |volume=35 |issue=6 |pages=581–97 |doi=10.1080/00033797800200441}}
4. ^http://nucleardata.nuclear.lu.se
5. ^http://nucleardata.nuclear.lu.se

References

  • {{cite book

|author1=C.M. Lederer |author2=J.M. Hollander |author3=I. Perlman |year=1968
|title=Table of Isotopes
|edition=6th
|location=New York
|publisher=John Wiley & Sons
|isbn=
|oclc=
}}

External links

{{commons category|Decay chain}}
  • Nucleonica nuclear science portal
  • Nucleonica's Decay Engine for professional online decay calculations
  • Decay chains
  • [https://web.archive.org/web/20061205022425/http://ie.lbl.gov/education/isotopes.htm Government website listing isotopes and decay energies]
  • National Nuclear Data Center Freely available databases that can be used to check or construct decay chains. Fully referenced.
  • The Live Chart of Nuclides - IAEA with decay chains
  • Decay Chain Finder

1 : Radioactivity

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